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Finding the Fourth Proportional to 243,032.10, 364,548.15 and 204,540.90

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Solution

The fourth proportional to 243,032.10, 364,548.15 and 204,540.90 is: 306,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,032.10 : 364,548.15 = 204,540.90 : x
  2. Step 2: Convert to fraction form
    243,032.10/364,548.15 = 204,540.90/x
  3. Step 3: Cross multiply
    243,032.10x = 364,548.15 × 204,540.90
  4. Step 4: Simplify right side
    243,032.10x = 74,565,006,694.34
  5. Step 5: Solve for x
    x = 74,565,006,694.34/243,032.10
  6. Step 6: Final answer
    x = 306,811.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.